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Question : lines have the same slope and different y-intercepts. A) Perpendicular B) Slope-Intercept C) Parallel : 2151716

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Fill in the blank with one of the words or phrases listed below.

slope-intercept |
directly |
slope |

jointly |
parallel |
perpendicular |

function |
inversely |
linear function |

1) ________ lines have the same slope and different y-intercepts.

A) Perpendicular

B) Slope-Intercept

C) Parallel

D) Slope

2) ________ form of a linear equation in two variables is y = mx + b.

A) Parallel

B) Perpendicular

C) Slope-intercept

D) Slope

3) A(n) ________ is a relation in which each first component in the ordered pairs corresponds to exactly one second component.

A) slope

B) function

C) slope-intercept

D) parallel

4) In the equation y = 4x -2, the coefficient of x is the ________ of the corresponding graph.

A) slope-intercept

B) linear function

C) slope

D) function

5) Two lines are ________ if the product of the slopes is -1.

A) jointly

B) parallel

C) slope-intercept

D) perpendicular

6) A(n) ________ is a function that can be written in the form f(x) = mx + b.

A) linear function

B) slope-intercept

C) parallel

D) perpendicular

7) In the equation y = kx, y varies ________ as x.

A) jointly

B) parallel

C) inversely

D) directly

8) In the equation y = (k/x), y varies ________ as x.

A) directly

B) parallel

C) inversely

D) jointly

9) In the equation y = kxz, y varies ________ as x and z.

A) directly

B) inversely

C) jointly

D) parallel

Use the graph of the function to find the value.

10) Find f(3).

A) -5

B) 1

C) 4

D) 5

11) Find f(-1).

A) 1

B) -3

C) 3

D) -4

12) Find all values of x such that f(x) = 0.

A) -2, 2

B) 0

C) 4

D) -4, 4

13) Find all values of x such that f(x) = -4.

A) -1, 1

B) -4

C) -2, 2

D) 0

Graph the line.

14) 10x - 2y = -4

A)

B)

C)

D)

15) f(x) = (2/3)x - 3

A)

B)

C)

D)

Find an equation of the line satisfying the given conditions. Write the equation in standard form.

16) Horizontal; through (-4, -2)

A) y = -4

B) x = -2

C) y = -2

D) x = -4

17) Through (-3, -9); slope 5

A) x - 5y = 6

B) x + 5y = -6

C) -5x + y = 6

D) 5x - y = 6

18) Through (0, (37/13)); slope – (7/13)

A) 13x - 7y = 37

B) 13x + 7y = 37

C) -7x + 13y = 37

D) 7x + 13y = 37

Find an equation of the line satisfying the given conditions. Write the equation using function notation.

19) Through (-20, 5) and (-28, 7)

A) f(x) = -4x - 1

B) f(x) = (1/4)x

C) f(x) = - (1/4)x

D) f(x) = - 4x

20) Through (-3, 3); perpendicular to x + 5y = -5

A) f(x) = (1/5)x + (18/5)

B) f(x) = - (1/5)x + (18/5)

C) f(x) = 5x + 12

D) f(x) = 5x + 18

21) Parallel to 2x - 5y = -8; through (5, 9)

A) f(x) = (2/5)x + 7

B) f(x) = - (2/5)x + 11

C) f(x) = - (5/2)x + 7

D) f(x) = (5/2)x + 7

Solve the problem.

22) Line L_{1} has the equation 8x - 16y = 1. Line L_{2} passes through the points (1, 5) and (2, 7). Determine whether these lines are parallel, perpendicular, or neither.

A) Parallel

B) Perpendicular

C) Neither

Find the domain and range of the relation. Also determine whether the relation is a function.

23)

A) domain: (-∞, ∞); range: {-5}; function

B) domain: {-5}; range: (-∞, ∞); not a function

C) domain: (-∞, ∞); range: {-5}; not a function

D) domain: {-5}; range: (-∞, ∞); function

24)

A) domain: {4} range: (-∞, ∞); function

B) domain: {4} range: (-∞, ∞); not a function

C) domain: (-∞, ∞); range: {4}; function

D) domain: (-∞, ∞); range: {4}; not a function

25)

A) domain: (-∞, ∞); range: (-∞, -4]; function

B) domain: (-∞, ∞); range: [ -4, ∞); not a function

C) domain: (-∞, ∞); range: [ -4, ∞); function

D) domain: [ -4, ∞); range: (-∞, ∞); not a function

26)

A) domain: (-∞, ∞); range: (-∞, ∞); not a function

B) domain: (-∞, ∞); range: (0, ∞); not a function

C) domain: (0, ∞); range: (0, ∞); function

D) domain: (-∞, ∞); range: (-∞, ∞); function

Solve the problem.

27) Sales for a small clothing company can be modeled by the linear function S(x) = 3890x + 66,665, where x is the number of years since 2005 and S(x) is in dollars. Find the sales in 2005.

A) $3890

B) $70,555

C) $66,665

D) $0

28) Sales for a small clothing company can be modeled by the linear function S(x) = 3159x + 75,939, where x is the number of years since 2005 and S(x) is in dollars. Find the sales in 2010.

A) $88,575

B) $91,734

C) $395,490

D) $382,854

29) Sales for a small clothing company can be modeled by the linear function S(x) = 4200x + 57, 400, where x is the number of years since 2005 and S(x) is in dollars. Predict the first whole year that sales will exceed $120,000.

A) 2018

B) 2020

C) 2021

D) 2019

30) When a tow truck is called, the cost of the service is given by the linear function y = 3x + 80, where y is in dollars and x is the number of miles the car is towed. Find and interpret the slope and y-intercept of the linear equation.

A) m = 3; The cost of the service increases $3 every mile the car is towed. b = 80; The cost of the service is $80 if the car is not towed.

B) m = 80; The number of miles the car is towed increases 80 miles for every dollar spent on the service. b = 3; The tow truck will tow the car 3 miles for no cost.

C) m = 80; The cost of the service increases $80 every mile the car is towed. b = 3; The cost of the service is $3 if the car is not towed.

D) m = 3; The number of miles the car is towed increases 3 miles for every dollar spent on the service. B = 80; The tow truck will tow the car 80 miles for no cost.

Graph the function. State the domain and range of the function.

31) f(x) = {4x + 1 if x £ 0

(1/2)x – 4 if x > 0

A) domain: (-∞, ∞); range: (- 4, ∞)

B) domain: (-∞, ∞); range: (-∞, ∞)

C) domain: (-∞, ∞); range: (- 4, ∞)

D) domain: (-∞, 0) ∪ (0, ∞); range: (-∞, ∞)

32) f(x) = x^{2} + 4

A) domain: (-∞, ∞); range: (4, ∞)

B) domain: (-∞, ∞); range: (0, ∞)

C) domain: (-∞, ∞); range: (0, ∞)

D) domain: (-∞, ∞); range: (- 4, ∞)

33) f(x) = -|x + 5|

A) domain: (-∞, ∞); range: [0, ∞)

B) domain: (-∞, ∞); range: (-∞, 0]

C) domain: (-∞, ∞); range: (-∞, 0]

D) domain: (-∞, ∞); range: (-∞, ∞)

34) f(x) = Ö(x + 5) + 4

A) domain: (-5, ∞); range: (4, ∞)

B) domain: (-∞, -5); range: (-4, ∞)

C) domain: (-∞, 5); range: (4, ∞)

D) domain: (5, ∞); range: (-4, ∞)

Solve.

35) Suppose that W is inversely proportional to V. If W = 36 when V = 7, find W when V = 63.

A) 49

B) 28

C) 9

D) 4

36) Suppose that Q is jointly proportional to R and the square of S. If Q = 16 when R = 2 and S = 2, find Q when R = 6 and S = 3.

A) 36

B) 108

C) 18

D) 12

37) The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls 88.2 meters in 3 seconds. Find the distance the object falls in 5 seconds.

A) 49 meters

B) 245 meters

C) 147 meters

D) 15 meters